When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 360 cubic centimeters and the pressure is 99 kPa and is decreasing at a rate of 8 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
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When air expands adiabatically (without gaining or
losing heat), its pressure P and volume V are related by
the equation PV 1.4 = C where C is a constant. Suppose
that at a certain instant the volume is 360 cubic
centimeters and the pressure is 99 kPa and is decreasing
at a rate of 8 kPa/minute. At what rate in cubic
centimeters per minute is the volume increasing at this
instant?
Transcribed Image Text:When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 360 cubic centimeters and the pressure is 99 kPa and is decreasing at a rate of 8 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
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